P = $14,300

dentify the type of data (qualitative/quantitative) and the level of measurement for the native language of survey respondents.

ohaa [14]

Answer:

The correct option is D i.e. Quantitative because numerical values found by either measuring or counting are used to describe the data.

Step-by-step explanation:

As the number of respondents is a numerical value and is identified by counting thus it is a quantitative variable. Also all the other options are incorrect.

A is incorrect because the reason described is not the property of quantitative data.

B is incorrect because the data is not described in descriptive terms.

C is incorrect because the reason described in not a property of qualitative data.

7 0

3 years ago

An open metal tank of square base has a volume of 123 m^3

snow_lady [41]

Answer:

a) h = 123/x^2

b) S = x^2 +492/x

c) x ≈ 6.27

d) S'' = 6; area is a minimum (Y)

e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

123 = x^2·h

h = 123/x^2

__

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

$S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}$

__

c) The derivative of the area with respect to x is ...

$S'=2x-\dfrac{492}{x^2}$

When this is zero, area is at an extreme.

$0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583$

__

d) The second derivative is ...

$S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6$

This is positive, so the value of x found represents a minimum of the area function.

__

e) The minimum area is ...

$S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78$

The minimum area of metal used is about 117.78 m².

3 0

3 years ago

What is 1 7/40 in the simplest form

OleMash [197]

That is the simplest form

4 0

3 years ago

Read 2 more answers

Let f(x) = 5x^3 -2x and g(x) =3x^3. Find f(x) * g(x) & state the domain

Sedbober [7]

Answer:

f(x) × g(x) = 15x^6 - 6x^4

Step-by-step explanation:

hello :

f(x) = 5x^3 -2x and g(x) =3x^3.

f(x) × g(x) = 3x^3(5x^3 -2x) = 15x^6 - 6x^4

6 0

3 years ago

The cost of pumpkin seeds is proportional to

zheka24 [161]

Answer:

Part 1) The unit rate is $\$0.25\ per\ ounce$

Part 2) A 56 ounce bag of pumpkin Seeds cost $14.00

Step-by-step explanation:

Part 1) What is the unit rate for the pumpkin seeds?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

y ----> the cost of pumpkin seeds in dollars

x ---> the weight in ounces

we have

For x=24 ounces, y=$6

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{6}{24}=\$0.25\ per\ ounce$

The unit rate is the same that the constant of proportionality k

therefore

The unit rate is

$\$0.25\ per\ ounce$

Part 2) How much would 56. ounce bag of pumpkin seeds cost?

we know that

The linear equation is equal to

$y=0.25x$

For x=56 ounces

substitute in the linear equation and solve for y

$y=0.25(56)=\$14.00$

6 0

3 years ago